Some rigidity results for the Hawking mass and a lower bound for the Bartnik capacity
Some rigidity results for the Hawking mass and a lower bound for the Bartnik capacity
We prove rigidity results involving the Hawking mass for surfaces immersed in a 3-dimensional, complete Riemannian manifold ( M , g ) $(M,g)$ with non-negative scalar curvature (respectively, with scalar curvature bounded below by − 6 $-6$ ). Roughly, the main result states that if an open subset Ω ⊂ …